The Premier League giants may be in the market for a no 2 goalkeeper in the off-season.
As the Reds consider the possibility of allowing Caoimhin Kelleher to leave, Patterson may take his place, says the Daily Mail.
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The 23-year-old has impressed for his club and at various youth levels for England.
Another player who the club are considering is Wigan Athletic's young shot stopper Sam Tickle.
He has also impressed at club level, while earning a call-up to the England Under-21 side.